(2n-4)(-3n-2)=

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Solution for (2n-4)(-3n-2)= equation: 


Simplifying
(2n + -4)(-3n + -2) = 0

Reorder the terms:
(-4 + 2n)(-3n + -2) = 0

Reorder the terms:
(-4 + 2n)(-2 + -3n) = 0

Multiply (-4 + 2n) * (-2 + -3n)
(-4(-2 + -3n) + 2n * (-2 + -3n)) = 0
((-2 * -4 + -3n * -4) + 2n * (-2 + -3n)) = 0
((8 + 12n) + 2n * (-2 + -3n)) = 0
(8 + 12n + (-2 * 2n + -3n * 2n)) = 0
(8 + 12n + (-4n + -6n2)) = 0

Combine like terms: 12n + -4n = 8n
(8 + 8n + -6n2) = 0

Solving
8 + 8n + -6n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 4n + -3n2) = 0

Factor a trinomial.
2((2 + -1n)(2 + 3n)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -1n)' equal to zero and attempt to solve:

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2

Subproblem 2
Set the factor '(2 + 3n)' equal to zero and attempt to solve:

Simplifying
2 + 3n = 0

Solving
2 + 3n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 3n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3n = 0 + -2
3n = 0 + -2

Combine like terms: 0 + -2 = -2
3n = -2

Divide each side by '3'.
n = -0.6666666667

Simplifying
n = -0.6666666667
Solution
n = {2, -0.6666666667}

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